Found with PFGW Version 3.7.5

2719^8294-8294^2719 is 2-PRP! (16.1705s+0.0016s)
2719^8294-8294^2719 is 3-PRP! (16.0381s+0.0015s)
2719^8294-8294^2719 is 5-PRP! (16.3159s+0.0014s)
2719^8294-8294^2719 is 7-PRP! (16.0428s+0.0016s)
2719^8294-8294^2719 is 11-PRP! (16.0165s+0.0015s)

Primality testing 2719^8294-8294^2719 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
2719^8294-8294^2719 is Fermat and Lucas PRP! (77.7545s+0.0028s)

To be completed...